In 3 digit nombers. How many nos. are divisible by3?
Correct answer C. 300
Topic / 32 questions
Counting MCQs
Counting MCQs are aptitude problems that ask you to count people or items in overlapping groups, find totals from percentages, or work out simple rates. They appear in NTS, GAT, SSC and bank tests. Each question shows an instant answer, so you can check your method and get quicker at set-based reasoning.
- Numbers 104
- Percentage 103
- Ratio and Proportion 80
- Age Questions 80
- Time and Work 73
- Fraction and Decimal 72
- Equations and Inequalities 64
- Average 59
- Basic Algebra 58
- Probability 45
- Odd Man Out and Series 43
- Boats and Streams 34
- Counting 32
- Problems on Trains 30
- Logarithm 30
- Problems on H.C.F and L.C.M 30
- Calendar 30
- Road Problems 26
- Word Problems 25
- Men and Food 24
- Compound Interest 21
- Time and Distance 19
- Clock 19
- Area 19
- Volume and Surface Area 19
- Simple Interest 19
- Problems on Numbers 17
- Pipes and Cistern 17
- True Discount 16
- Problems on Ages 15
- Alligation or Mixture 15
- Simplification 15
- Permutation and Combination 14
- Stocks and Shares 14
- Train Problems 14
- Races and Games 13
- Mixture Problems 13
- Banker's Discount 12
- Profit and Loss 12
- Square Root and Cube Root 11
- Surds and Indices 8
- Height and Distance 7
- Partnership 6
A frog is in a well 8ft deep. The frog can jomp 3ft high but due to slippery surface it slips down by 2ft. How many jumps does he require to come out of the well?
Correct answer D. 6
How many packets of weight 0.8 kg beef are formed if there is 9kg beef?
Correct answer B. 11
Advertisement
4 coins are tossed no. of possible outcomes is?
Correct answer B. 16
How many triangles can be formed joining the vertices of 12 sided polygon?
Correct answer C. 220
U.N asks 10 countries to send their represcntative to watch Iraq regarding peace policies of USA. U.N wants to send 3 person committee there. How many different committees can be formed?
Correct answer B. 120
In world cup of cricket in group I there are 6 teams playing matches with each other. There is only one match between every two teams. How many matches were held?
Correct answer B. 15
When the KIPS school started up the task is given to design uniform. There are 4 colors of shirts and 3 colors of pants. How many different combination of uniform can be formed?
Correct answer A. 12
Whan Uzbekistan got independence the P.M. asked to design flag of the country and gave symbols moon star and sward and 4 colors. How many different types of flags can be formed if there are only two symbols and two colors in the flag?
Correct answer A. 36
Advertisement
PTCL wants to interlink 5 cities and the links should be between every two cities how many links will be formed?
Correct answer B. 10
How many diagonals are there in a polygon of 12 sides?
Correct answer B. 55
How many numbers are there in four digit no whose all digits are prime?
Correct answer B. 256
Ali read chemistry books pages numbered 5 to 16 from 2:10 pm to 2:21 pm. What is the rate of reading pages per minute?
Correct answer A. 12?11
In a restaurant there are 4 dishes of vegetable and 3 are non-vegetable and 2 types of cold drinks. How many ways a man can choose a meal selecting one from each category?
Correct answer B. 24
In a boutique there are 4 colors of shirts and 3 colors of trousers and 5 colors of ties. How many different ways a man can take dress?
Correct answer A. 60
Advertisement
At KIPS 600 students are enrolled in FAST admission test preparatory classes. Of these 200 study physics and 400 study computer science. If 100 of them study meither subject. How many study both?
Correct answer A. 100
There are 2500 students at KIPS. 45% of them study Physics and 80% study English. How many study both?
Correct answer C. 625
In an examination 600 students passed in both Mathematics and English and 60% of the class passed in Mathematics and 70% passed in English. If 30% of the class failed in both the subjects then what number of the students passed in English?
Correct answer D. 1400
In an examination 200 students passed in both physics and chemistry and 40% of the class passed in physics and 60% passed in chemistry. If 10% of the class failed in both the sunjects then what is the total number of students of the class?
Correct answer D. 2000
In an examination 55% students passed in Physics and 45% students passed in Chemistry and 35% passed in both. What percent of students passed in any subject?
Correct answer D. 65%
About Counting MCQs
This Aptitude topic mainly uses the logic of sets and Venn diagrams. A typical question gives the number of students studying two subjects and asks how many study both, using the rule that the total equals group A plus group B minus those in both. Other items combine percentages, such as finding a class size when known shares pass, fail or pass both subjects, and some test inclusive counting, such as how many pages are read from page 110 to page 114. Careful reading is vital, because the words 'both', 'either' and 'neither' change the answer completely.
Exams that include Counting MCQs
Pakistan
- NTS
- GAT
- ISSB
- Army/Navy/PAF initial tests
- FPSC
- PPSC
- Banking job tests
India
- SSC CGL
- SSC CHSL
- IBPS PO
- SBI PO
- RRB NTPC
- Campus placements
Bangladesh
- BCS
- Bank job exams
- Government job tests
Frequently asked questions
How do you solve overlapping set problems?
Use the formula n(A or B) = n(A) + n(B) minus n(A and B). If 150 students are in a school, 100 study Physics and 70 study English, and everyone studies at least one, then 100 + 70 minus 150 = 20 students study both.
Why do counting questions often give wrong answers?
Most mistakes come from inclusive counting and wording. Reading pages 110 to 114 means five pages, not four, because both end pages are counted. Words such as 'neither' or 'only' also change the calculation, so underline them before you start working.
How many Counting MCQs are on MCQs360?
MCQs360 has 32 Counting MCQs, each with an instant answer. They are free with no sign-up. Drawing a quick Venn diagram for each question while you practise is the fastest way to build the habit you will need in the exam hall.
Last reviewed October 2026